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We analyze the scattering and bound state physics of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. The lattice provides a structured continuum allowing for the existence of bound dimer…

Other Condensed Matter · Physics 2008-08-12 N. Nygaard , R. Piil , K. Molmer

The lowest order constrained variational method [Phys. Rev. Lett. 88, 210403 (2002)] has been generalized for a dilute (in the sense that the range of interatomic potential is small compared with inter-particle spacing) uniform gas of…

Soft Condensed Matter · Physics 2007-05-23 Yeong E. Kim , Alexander L. Zubarev

In systems of ultracold atoms, pairwise interactions can be resonantly enhanced by a new mechanism which does not rely upon a magnetic Feshbach resonance. In this mechanism, interactions are controlled by tuning the frequency of an…

Quantum Gases · Physics 2015-10-14 D. H. Smith

This work investigates how the closed channel of a Feshbach resonance is characterised by experimental observables. Surprisingly, it is found that the two-body observables associated with the Feshbach resonance can be insensitive to the…

Quantum Gases · Physics 2025-02-05 Pascal Naidon

The properties of Bose-Einstein condensed gases can be strongly altered by tuning the external magnetic field near a Feshbach resonance. Feshbach resonances affect elastic collisions and lead to the observed modification of the scattering…

Statistical Mechanics · Physics 2009-10-31 J. Stenger , S. Inouye , M. R. Andrews , H. -J. Miesner , D. M. Stamper-Kurn , W. Ketterle

We consider the stability of an ultracold trapped Bose-Einstein condensate near a Feshbach resonance. Using a modified Gross-Pitaevskii equation that includes higher-order terms and a multi-channel model of Feshbach resonances, we find…

Other Condensed Matter · Physics 2009-09-22 N. T. Zinner , M. Thøgersen

We derive pseudo-potentials that describe the scattering between two particles in two spatial dimensions for any partial wave m, whose scattering strength is parameterized in terms of the m-dependent phase shift. Using our m=0…

Other Condensed Matter · Physics 2009-11-11 K. Kanjilal , D. Blume

We present a simple example of quantum control in Bose-Einstein condensates via Feshbach resonance. By tuning an initially positive scattering length to zero, it is possible to generate oscillatory motion of the condensate that results from…

Soft Condensed Matter · Physics 2007-05-23 S. Choi , N. P. Bigelow

We calculate the critical temperature for Bose-Einstein condensation in a gas of bosonic atoms across a Feshbach resonance, and show how medium effects at negative scattering lengths give rise to pairs reminiscent of the ones responsible…

Other Condensed Matter · Physics 2014-11-18 Arnaud Koetsier , P. Massignan , R. A. Duine , H. T. C. Stoof

In this paper, we study the phase diagram of a homogeneous Bose gas with a repulsive interaction near a wide Feshbach resonance at zero temperature. The Bose-Einstein-condensation (BEC) state of atoms is a metastable state. When the…

Other Condensed Matter · Physics 2009-11-13 Lan Yin

We investigate controlled phase separation of a binary Bose-Einstein condensate (BEC) in the proximity of mixed-spin-channel Feshbach resonance in the |F = 1, mF = +1> and |F = 2,mF = -1> states of 87Rb at a magnetic field of 9.10 G. Phase…

Quantum Gases · Physics 2015-05-19 Satoshi Tojo , Yoshihisa Taguchi , Yuta Masuyama , Taro Hayashi , Hiroki Saito , Takuya Hirano

We analyze the scattering problem of identical bosonic particles confined on a spherical surface. At low scattering energies and for a radius much larger than the healing length, we express the contact interaction strength in terms of the…

Quantum Gases · Physics 2022-02-25 A. Tononi

We present an analytic model to calculate the atomic scattering length near a Feshbach resonance from data on the molecular binding energy. Our approach considers finite-range square-well potentials and can be applied near broad, narrow, or…

Other Condensed Matter · Physics 2009-11-13 A. D. Lange , K. Pilch , A. Prantner , F. Ferlaino , B. Engeser , H. -C. Naegerl , R. Grimm , C. Chin

Bose-Einstein condensates of 10$^4$ $^{85}$Rb atoms in a cylindrical trap are studied using a recently proposed modified Gross-Pitaevskii equation. The existence of a Feshbach resonance allows for widely tuning the scattering length of the…

Soft Condensed Matter · Physics 2009-11-07 A. Fabrocini , A. Polls

A simple two-atom model is shown to describe a Bose-Einstein condensate of alkali atoms subjected to external magnetic field ramps near a Feshbach resonance. The implications uncovered for two atoms in a trap can be applied at least…

Condensed Matter · Physics 2009-11-10 Bogdan Borca , D. Blume , Chris H. Greene

We show an all-optical method of making 7Li condensate using tunability of the scattering length in the proximity of a Feshbach resonance. We report the observation of two new Feshbach resonances on |F = 1;mF = 0> state. The narrow (broad)…

Atomic Physics · Physics 2010-09-07 Noam Gross , Lev Khaykovich

We theoretically study binary Bose-Einstein condensates trapped in a single-well harmonic potential to probe the dynamics of collective atomic motion. The idea is to choose tunable scattering lengths through Feshbach resonances such that…

Quantum Gases · Physics 2020-07-01 Wei-Can Syu , Da-Shin Lee , Chi-Yong Lin

We extend our previous investigations of fermionic condensation in broad Feshbach resonances by using the two-channel model developed for narrow Feshbach resonances. We investigate two crossovers: the BCS-BEC crossover by changing the…

Quantum Gases · Physics 2012-11-19 Luca Salasnich

We study the steady state of a zero-temperature Bose gas near a Feshbach or photoassociation resonance using a two-channel mean-field model that incorporates atomic and molecular condensates, as well as correlated atom pairs originating…

Other Condensed Matter · Physics 2009-11-13 Andrew Carmichael , Juha Javanainen

We present a detailed study of the scattering properties of ultracold mixtures of bosonic potassium atoms. We locate 20 previously unobserved Feshbach resonances in isotopic 39K-41K mixtures. These are assigned to s-wave molecular channels…

Quantum Gases · Physics 2019-01-02 L. Tanzi , C. R. Cabrera , J. Sanz , P. Cheiney , M. Tomza , L. Tarruell